# How do you solve  (5x - 1)^2 = 4/25?

Jun 28, 2016

$x = \frac{3}{25}$ or $x = \frac{7}{25}$

#### Explanation:

${\left(5 x - 1\right)}^{2} = \frac{4}{25}$ => ${\left(5 x - 1\right)}^{2} = {\left(\frac{2}{5}\right)}^{2}$

=> $5 x - 1 = \pm \frac{2}{5}$

=> $5 x - 1 = + \frac{2}{5}$ means $5 x = \left(\frac{2}{5} + 1\right)$ => $x = \frac{7}{25}$

=> $5 x - 1 = - \frac{2}{5}$ means $5 x = \left(- \frac{2}{5} + 1\right)$ => $x = \frac{3}{25}$